Given numbers are 714,363,627,183,442

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 714,363,627,183,442 is 1301698398.

Find LCM of 714,363,627,183,442 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 11 x 17 x 7 x 11 x 19 x 61 x 13 = 1301698398

Therefore, the lowest common multiple of 714,363,627,183,442 is 1301698398.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

714 x 363 x 627 x 183 x 442 = 13144550423004

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

363 : 1, 3, 11, 33, 121, 363

627 : 1, 3, 11, 19, 33, 57, 209, 627

183 : 1, 3, 61, 183

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,363,627,183,442, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

363:3x 11x 11

627:3x 11x 19

183:3x 61

442:2x 13x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 11x 17 = 10098

Therefore, the value for common factors is 10098.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 13144550423004/(1x10098)

LCM = 13144550423004/10098

LCM = 1301698398

Thus, we can understand that the LCM of 714,363,627,183,442 is 1301698398.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 323, 933, 994, 182, 951
• LCM of 964, 381, 825, 197, 567
• LCM of 560, 300, 479, 667, 355
• LCM of 752, 282, 766, 583, 682
• LCM of 713, 325, 816, 682, 657

1. What is the LCM of 714, 363, 627, 183, 442?

Answer: LCM of 714, 363, 627, 183, 442 is 1301698398.

2. How to calculate the LCM of 714, 363, 627, 183, 442?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 714, 363, 627, 183, 442.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.